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Finding the Third Proportional to 1,171,397.25 and 1,769,576.63

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Solution

The third proportional to 1,171,397.25 and 1,769,576.63 is: 2,673,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,397.25 : 1,769,576.63 = 1,769,576.63 : x
  2. Step 2: Convert to fraction form
    1,171,397.25/1,769,576.63 = 1,769,576.63/x
  3. Step 3: Cross multiply
    1,171,397.25x = 1,769,576.63 × 1,769,576.63
  4. Step 4: Simplify right side
    1,171,397.25x = 3,131,401,431,746.39
  5. Step 5: Solve for x
    x = 3,131,401,431,746.39/1,171,397.25
  6. Step 6: Final answer
    x = 2,673,219.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.